On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback

doi:10.1051/cocv:2008001

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	On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback
	Guo, Bao-Zhu2,3 ; Wang, Jun-Min 1; Zhou, Cui-Lian 1
刊名	ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
	2008-07-01
卷号	14 期号:3 页码:632-656
关键词	Rayleigh beam collocated control spectral analysis exponential stability
ISSN号	1292-8119
DOI	10.1051/cocv:2008001
英文摘要	We study the dynamic behavior and stability of two connected Rayleigh beams that are subject to, in addition to two sensors and two actuators applied at the joint point, one of the actuators also specially distributed along the beams. We show that with the distributed control employed, there is a set of generalized eigenfunctions of the closed-loop system, which forms a Riesz basis with parenthesis for the state space. Then both the spectrum-determined growth condition and exponential stability are concluded for the system. Moreover, we show that the exponential stability is independent of the location of the joint. The range of the feedback gains that guarantee the system to be exponentially stable is identified.
WOS研究方向	Automation & Control Systems ; Mathematics
语种	英语
出版者	CAMBRIDGE UNIV PRESS
WOS记录号	WOS:000257337000012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/6529]
专题	系统科学研究所
通讯作者	Guo, Bao-Zhu
作者单位	1.Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China 2.Univ Witwatersrand, Dept Computat & Appl Math, ZA-2050 Johannesburg, South Africa 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Guo, Bao-Zhu,Wang, Jun-Min,Zhou, Cui-Lian. On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback[J]. ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,2008,14(3):632-656.
APA	Guo, Bao-Zhu,Wang, Jun-Min,&Zhou, Cui-Lian.(2008).On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback.ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,14(3),632-656.
MLA	Guo, Bao-Zhu,et al."On the dynamic behavior and stability of controlled connected Rayleigh beams under pointwise output feedback".ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS 14.3(2008):632-656.